3 papers
math.NT2025
Arithmetic sparsity in mixed Hodge settings
Kenneth Chung Tak Chiu
Let be a smooth irreducible quasi-projective algebraic variety over a number field . Suppose is equipped with a -adic étale local system compatible with an admissibl…
math.AG2025
Ax-Schanuel with derivatives for mixed period mappings
Kenneth Chung Tak Chiu
We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for p…
math.NT2024
Slope-determinant method, complex cellular structures and hypersurface coverings of regular rational points
Kenneth Chung Tak Chiu
We use the determinant method of Bombieri-Pila and Heath-Brown and its Arakelov reformulation by Chen utilizing Bost's slope method to estimate the number of hypersurfaces required…